In this paper, we present a framework for automated component sizing to extend a designer's ability to evaluate a particular configuration during the architecture exploration phase of a design process. Component sizing is a hard problem to solve, both from a computational and modeling aspect. This is because of competing objectives, requirements from multiple disciplines, and the need to find a good solution quickly for the architecture being considered. In current approaches, designers rely on heuristics and iterate over the multiple objectives and requirements until a satisfactory solution is found. To improve on this state of practice, we introduce advances in the following two areas: (a) solving the problem efficiently so that all of the imposed requirements are satisfied simultaneously and the solution obtained is mathematically optimal and (b) modeling a component sizing problem in a manner that is convenient to designers. An acausal, algebraic, equation-based, declarative modeling approach using mathematical programming (GAMS) is taken to solve these problems more efficiently. The object management group systems modeling language (OMG SysML™) is used to model component sizing problems in order to facilitate problem formulation, model reuse and automatic generation of low-level code that can be solved using GAMS and its solvers. This framework is demonstrated by applying it to an example of a hydraulic log splitter. Based on this initial example, we discuss two advantages of this framework—total time taken in solving multiple scenarios for a given configuration and the graphical representation of a problem in SysML.
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Georgia Institute of Technology,
e-mail: chris.paredis@me.gatech.edu
Georgia Institute of Technology,
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December 2012
Research-Article
Combining Mathematical Programming and SysML for Automated Component Sizing of Hydraulic Systems
Christiaan J. J. Paredis,
Georgia Institute of Technology,
e-mail: chris.paredis@me.gatech.edu
Christiaan J. J. Paredis
1
The G.W. Woodruff School of Mechanical Engineering
,Georgia Institute of Technology,
Atlanta, GA 30332
e-mail: chris.paredis@me.gatech.edu
1Corresponding author.
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Dirk Schaefer
Georgia Institute of Technology,
Dirk Schaefer
The G.W. Woodruff School of Mechanical Engineering
,Georgia Institute of Technology,
Savannah, GA 31407
e-mail: dirk.schaefer@me.gatech.edu
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Aditya A. Shah
Christiaan J. J. Paredis
The G.W. Woodruff School of Mechanical Engineering
,Georgia Institute of Technology,
Atlanta, GA 30332
e-mail: chris.paredis@me.gatech.edu
Roger Burkhart
Dirk Schaefer
The G.W. Woodruff School of Mechanical Engineering
,Georgia Institute of Technology,
Savannah, GA 31407
e-mail: dirk.schaefer@me.gatech.edu
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the Journal of Computing and Information Science in Engineering. Manuscript received November 16, 2011; final manuscript received April 26, 2012; published online November 15, 2012. Assoc. Editor: Ajay Joneja.
J. Comput. Inf. Sci. Eng. Dec 2012, 12(4): 041006 (14 pages)
Published Online: November 15, 2012
Article history
Received:
November 16, 2011
Revision Received:
April 26, 2012
Citation
Shah, A. A., Paredis, C. J. J., Burkhart, R., and Schaefer, D. (November 15, 2012). "Combining Mathematical Programming and SysML for Automated Component Sizing of Hydraulic Systems." ASME. J. Comput. Inf. Sci. Eng. December 2012; 12(4): 041006. https://doi.org/10.1115/1.4007764
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